Publication:
Applications of representation theory to harmonic analysis of Lie groups (and vice versa)
Applications of representation theory to harmonic analysis of Lie groups (and vice versa)
dc.contributor.author | Cowling, Michael | en_US |
dc.date.accessioned | 2021-11-25T14:29:28Z | |
dc.date.available | 2021-11-25T14:29:28Z | |
dc.date.issued | 2008 | en_US |
dc.description.abstract | These notes began as lectures that I intended to deliver in Edinburgh in April, 1999. Unfortunately I was not able to leave Australia at the time. Since then there has been progress on many of the topics, some of which is reported here, and I have added another lecture, on uniformly bounded representations, so that these notes are expanded on the original version in several ways. I have tried to make these notes an understandable introduction to the subject for mathematicians with little experience of analysis on Lie groups or Lie theory. I aimed to present a wide panorama of different aspects of harmonic analysis on semisimple groups and symmetric spaces, and to try to illuminate some of the links between these aspects; I may well not have succeeded in this aim. Many readers will find much of what is written here to be elementary, and others may well disagree with my perspective. I apologise in advance to both the neophytes for whom my outline is too sketchy and to the experts for whom these notes are worthless. I had hoped to produce an extensive bibliography, but I have not found the time to do so. Consequently I must bear the responsibility for the many omissions of important references in the subject. Whoever wishes to delve into this subject more deeply will need a more complete introduction. There are many possibilities; the books of S. Helgason [59, 60, 62] and of A.W. Knapp [71] come to mind immediately as essential reading. | en_US |
dc.identifier.isbn | 9783540768913 | en_US |
dc.identifier.uri | http://hdl.handle.net/1959.4/42679 | |
dc.language | English | |
dc.language.iso | EN | en_US |
dc.publisher | Springer | en_US |
dc.rights | CC BY-NC-ND 3.0 | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/au/ | en_US |
dc.source | Legacy MARC | en_US |
dc.title | Applications of representation theory to harmonic analysis of Lie groups (and vice versa) | en_US |
dc.type | Book Chapter | en |
dcterms.accessRights | metadata only access | |
dspace.entity.type | Publication | en_US |
unsw.accessRights.uri | http://purl.org/coar/access_right/c_14cb | |
unsw.publisher.place | Germany | en_US |
unsw.relation.faculty | Science | |
unsw.relation.ispartofpagefrompageto | 1-50 | en_US |
unsw.relation.ispartoftitle | Lectures in Mathematics | en_US |
unsw.relation.originalPublicationAffiliation | Cowling, Michael, Mathematics & Statistics, Faculty of Science, UNSW | en_US |
unsw.relation.school | School of Mathematics & Statistics | * |